What is the Least Common Multiple of 33428 and 33433?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 33428 and 33433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33428 and 33433, than apply into the LCM equation.

GCF(33428,33433) = 1
LCM(33428,33433) = ( 33428 × 33433) / 1
LCM(33428,33433) = 1117598324 / 1
LCM(33428,33433) = 1117598324

Least Common Multiple (LCM) of 33428 and 33433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33428 and 33433. First we will calculate the prime factors of 33428 and 33433.

Prime Factorization of 33428

Prime Factorization of 33433

Now multiplying the highest exponent prime factors to calculate the LCM of 33428 and 33433.

LCM(33428,33433) = 2² × 61¹ × 137¹ × 67¹ × 499¹
LCM(33428,33433) = 1117598324